Aquara FP2 trigger Synology Home Mode

Configuration
1

Hello,
I have an issue I can’t overcome.
I have an automation which deactivates the Synology Home Mode.
As for now, it works quite well. It deactivates it as soon as both persons have left the house.
However, since I hooked up the camera to Synology Surveillance Station it triggers regularly when there is sun coming in. I’m flooded with false alarms.
So I bought an Aquara FP2 and would like to add it to the existing automation.

So what it is supposed to do is:
Deactivate Home Mode if both persons are out of house (as it is now) AND if there is presence detected.

I don’t understand where I should put the FP2 in.
I had it in the triggers part and in the conditions part as additional AND.
None of those work.

Here is how it looks with triggers:

alias: Surv On
description: ""
trigger:
  - platform: state
    entity_id:
      - person.xxx
    from: home
    to: not_home
  - platform: state
    entity_id:
      - person.yyy
    from: home
    to: not_home
  - platform: state
    entity_id:
      - binary_sensor.presence_sensor_fp2_04aa_presence_sensor_1
    from: "off"
    to: "on"
condition:
  - condition: and
    conditions:
      - condition: state
        entity_id: person.xxx
        state: not_home
      - condition: state
        entity_id: person.yyy
        state: not_home
action:
  - type: turn_off
    device_id: xxxxx
    entity_id: xxxxx
    domain: switch
mode: restart

And this was my attempt thought the conditions:

alias: Surv On
description: ""
trigger:
  - platform: state
    entity_id:
      - person.xxx
    from: home
    to: not_home
  - platform: state
    entity_id:
      - person.yyy
    from: home
    to: not_home
condition:
  - condition: and
    conditions:
      - condition: state
        entity_id: person.xxx
        state: not_home
      - condition: state
        entity_id: person.yyy
        state: not_home
      - condition: state
        entity_id: binary_sensor.presence_sensor_fp2_04aa_presence_sensor_1
        state: "on"
action:
  - type: turn_off
    device_id: xxxxxxx
    entity_id: xxxxxxx
    domain: switch
mode: restart

Could you help me out here?
What am I missing?
Why is this not turning off Home Mode?

Edit: now that I wrote that, could you tell me how I’d go about deactivating it “temporary”?
I have a working automation which turns on Home Mode as soon as one of the persons is at home again, but I’d handle that as a separate off-switch. Would that be possible by combining both examples above? If they work…

Thanks for reading.